this is the most reliable shut down, you could also attempt to use storm wind rider, or african priestess as a cheaper answer. At 3 cost you can field her, and hope for the best. You could also include joker/loki/mindflayer but they are the same cost as the puzzle.

Psylocke- kwannon assassin: when fielded pay two masks to knock out target character. Especially if you're playing with pxg make her a cheap mask source and consistent removal threat. Because she's "when fielded" she gets rid of the hulkster before he can trigger his ability. It can be expensive but it does tend to be fairly consistent. Even if she gets knocked out you can reroll and do it again. And she's only two cost.

Jade giant is a bit expensive but he does beat green goliath. If they poly him into their field you can sometimes poly him right back. I managed to pull that off once. It was hilarious. The guy was so depressed.